Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Task Description**

Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function.

Given function:
\[ y = x^5 - 5x^4 - 4 = x^4(x - 5) - 4 \]

---

**Task Steps**

Identify the coordinates of the local maximum points. Choose the correct option below and, if necessary, fill in the answer box to complete your choice.

- **Option A**: The local maximum point(s) is/are ____.
  *(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)*

- **Option B**: There are no local maximum points.
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Transcribed Image Text:**Task Description** Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function. Given function: \[ y = x^5 - 5x^4 - 4 = x^4(x - 5) - 4 \] --- **Task Steps** Identify the coordinates of the local maximum points. Choose the correct option below and, if necessary, fill in the answer box to complete your choice. - **Option A**: The local maximum point(s) is/are ____. *(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)* - **Option B**: There are no local maximum points.
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